x^2+20*x+500=0

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Solution for x^2+20*x+500=0 equation:


Simplifying
x2 + 20x + 500 = 0

Reorder the terms:
500 + 20x + x2 = 0

Solving
500 + 20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-500' to each side of the equation.
500 + 20x + -500 + x2 = 0 + -500

Reorder the terms:
500 + -500 + 20x + x2 = 0 + -500

Combine like terms: 500 + -500 = 0
0 + 20x + x2 = 0 + -500
20x + x2 = 0 + -500

Combine like terms: 0 + -500 = -500
20x + x2 = -500

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = -500 + 100

Reorder the terms:
100 + 20x + x2 = -500 + 100

Combine like terms: -500 + 100 = -400
100 + 20x + x2 = -400

Factor a perfect square on the left side:
(x + 10)(x + 10) = -400

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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